8123145756 has 72 divisors (see below), whose sum is σ = 20866793472. Its totient is φ = 2457655200.

The previous prime is 8123145749. The next prime is 8123145763. The reversal of 8123145756 is 6575413218.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8123145749) and next prime (8123145763).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987621 + ... + 995811.

It is an arithmetic number, because the mean of its divisors is an integer number (289816576).

Almost surely, 2^8123145756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8123145756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10433396736).

8123145756 is an abundant number, since it is smaller than the sum of its proper divisors (12743647716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8123145756 is a wasteful number, since it uses less digits than its factorization.

8123145756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903 (or 8890 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 8123145756 is about 90128.4958046011. The cubic root of 8123145756 is about 2010.2099362416.

The spelling of 8123145756 in words is "eight billion, one hundred twenty-three million, one hundred forty-five thousand, seven hundred fifty-six".